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Solve 3x + 6 = 66

The solution of 3x + 6 = 66 is x = 20.

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The lines y = 3x + 6 and y = 66 meet at x = 2014161820222426455055606570758085x = 20y = 3x + 6y = 66
The lines y = 3x + 6 and y = 66 meet at x = 20. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+6=663x + 6 = 66
  2. 2

    Subtract 6 from both sides:

    3x+6−6=66−6 ⇒ 3x=603x + 6 - 6 = 66 - 6 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+6=60+6=66✓3\cdot20 + 6 = 60 + 6 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 6 = 66\ \Rightarrow\ x = 20 \]
\[ 3x + 6 = 66 \]
\[ 3x + 6 - 6 = 66 - 6 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 6 = 60 + 6 = 66 \checkmark \]

Trying values of x in 3x + 6 = 66

x3x + 6Equals 66?
1860no
1963no
2066yes
2169no
2272no

Questions

What is x in 3x + 6 = 66?

The solution of 3x + 6 = 66 is x = 20.

How do you solve 3x + 6 = 66?

Subtract 6 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 6 = 66, which is 66.

Similar equations

    Solve 3x + 6 = 66: x = 20 (steps and check) | WordGPT